The distribution of the spine of a Fleming-Viot type process
Probability
2015-07-27 v1
Abstract
We show uniqueness of the spine of a Fleming-Viot particle system under minimal assumptions on the driving process. If the driving process is a continuous time Markov process on a finite space, we show that asymptotically, when the number of particles goes to infinity, the branching rate for the spine is twice that of a generic particle in the system, and every side branch has the distribution of the unconditioned generic branching tree.
Keywords
Cite
@article{arxiv.1507.06855,
title = {The distribution of the spine of a Fleming-Viot type process},
author = {Mariusz Bieniek and Krzysztof Burdzy},
journal= {arXiv preprint arXiv:1507.06855},
year = {2015}
}